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A065924 Numbers n such that 1/n starts with n, after excluding leading zeros. 0
1, 3, 10, 100, 316, 1000, 3162, 10000, 100000, 1000000, 10000000, 100000000, 316227766, 1000000000, 3162277660, 10000000000, 100000000000, 1000000000000, 3162277660168, 10000000000000, 100000000000000 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

All the terms are either 10^k or 10^k*sqrt(10) rounded down.

EXAMPLE

316 is present because 1/316 = 0.00316..

MAPLE

with(numtheory);

P:=proc(i)

local a, b, c, n;

for n from 1 to i do

  a:=1/n; b:=n; c:=0; while a<1 do a:=10*a; od;

  while b>0 do c:=c+1; b:=trunc(b/10); od;

  a:=trunc(10^(c-1)*a); if n=a then print(n); fi;

od;

end:

P(100000000000); # Paolo P. Lava, Dec 16 2011

CROSSREFS

Sequence in context: A073733 A005205 A181079 * A013233 A013226 A013231

Adjacent sequences:  A065921 A065922 A065923 * A065925 A065926 A065927

KEYWORD

base,nonn

AUTHOR

Jonathan Ayres (jonathan.ayres(AT)btinternet.com), Nov 28 2001

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.